The DNA of a randimal is an infinite string of 0’s and 1’s and is formed as follows:
The randoplast produces a random string of 100 bits. Then the string doubles
itself in length at times 2−k for k = 1, 2, . . . , seconds. The whole sequence is
completed after one second This doubling in length goes as follows:
If the string is currently x1, x2, . . . , xm then the doubled string is x1, x2, · · · , xm, 1 − x1, 1 − x2, · · · 1 − xm.
The behaviour of the creature is rational or irrational, depending on whether the
DNA defines a rational or irrational number. Are there any rational randimals?